Answer:
5-9i
Step-by-step explanation:
3+2-4i-5i
5-9i
How many DVDs. A small independent movie company determines the profit P for producing n DVD copies of a recent release is P = −0.02n2 + 3.40n − 16. P is the profit in thousands of dollars and n is in thousands of units.
a. How many DVDs should the company produce to maximize the profit?
should the company produce to maximize the profit?
Answer:
128.5 thousand dollars
Step-by-step explanation:
The number of DVDs the company can sell to maximize the profit is 85
What is differentiation?
In mathematics, differentiation is the process of determining the derivative, or rate of change, of a function. Differentiation is a technique for determining a function's derivative. Differentiation is a mathematical procedure that determines the instantaneous rate of change of a function based on one of its variables. The process of finding the derivative of dependent variable in an implicit function by differentiating each term separately
Given data ,
Let the profit P for producing n DVD copies be P ( n )
where P ( n ) = −0.02n² + 3.40n − 16
Now , to find the maximum number of DVDs to produce in order to maximize the profit is calculated by finding the derivative of P ( n ) with respect to n
And , dP (n) / dn = 0
So , the equation will be
P ( n ) = −0.02n² + 3.40n − 16
dP (n) / dn = -0.04n + 3.4
When dP (n) / dn = 0 , we can find the value for n
So ,
-0.04n + 3.4 = 0
Adding 0.04n on both sides , we get
0.04n = 3.4
Divide by 0.04 on both sides , we get
n = 85
Hence , The number of DVDs the company can sell to maximize the profit is 85
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3. 1 + sec2x sin2x = sec2x
Answer:
Answer is on pic
Step-by-step explanation:
I hope it's helpful!
Mohamed decided to track the number of leaves on the tree in his back yard each year. This year there were 500 leaves. Each year after the number of leaves was 40% more than the year before. Let f(n) be the number of leaves on the tree in mohameds back yard in the nth year since he started tracking it. F is a sequence was kind of sequence is it?
Answer:
Geometric sequence
Step-by-step explanation:
According to the scenario, computation of the given data are as follows:
Leaves on tree this year (a) = 500
Rate of increase in leaves per year (r) = 40 % or 0.4
Let n be the number of years.
So we use exponential growth formula, i.e.
f(n) = a(1+r)^n
by putting the value, we get
f(n) = 500 ( 1+0.4)^n
or f(n) = 500 (1.4)^n
So, the common ration is 1.4.
Thus, it shows a geometric sequence.
Which of the following equation is equivalent to x² + 8x – 3 = 0?
Find the oth term of the geometric sequence 7, 14, 28, ...
Answer:
The nth term of the geometric sequence 7, 14, 28, ... is:
[tex]a_n=7\cdot \:2^{n-1}[/tex]
Step-by-step explanation:
Given the geometric sequence
7, 14, 28, ...
We know that a geometric sequence has a constant ratio 'r' and is defined by
[tex]a_n=a_1\cdot r^{n-1}[/tex]
where a₁ is the first term and r is the common ratio
Computing the ratios of all the adjacent terms
[tex]\frac{14}{7}=2,\:\quad \frac{28}{14}=2[/tex]
The ratio of all the adjacent terms is the same and equal to
[tex]r=2[/tex]
now substituting r = 2 and a₁ = 7 in the nth term
[tex]a_n=a_1\cdot r^{n-1}[/tex]
[tex]a_n=7\cdot \:2^{n-1}[/tex]
Therefore, the nth term of the geometric sequence 7, 14, 28, ... is:
[tex]a_n=7\cdot \:2^{n-1}[/tex]
Which is a graph of y = -2x+ 3?
Answer: the one on the top right
Step-by-step explanation:
If f(×) = -2x+8, find f(3)
Answer:
f(3) = 2
Step-by-step explanation:
To evaluate f(3), substitute x = 3 into f(x), that is
f(3) = - 2(3) + 8 = - 6 + 8 = 2
Find the difference
Answer: 3/5
Step-by-step explanation:
1 2/5 = 7/5
7/5 - 4/5 = 3/5
Answer: 3/5
Step-by-step explanation:Change 1 2/5 to improper fraction which is 7/5 .THen subtract 7/5 from 4/5 which gives you 3/5.
GIVING BRAINLEIST PLEASE HURRY
Answer:
A
Step-by-step explanation:
-80 and -120 are easy to add
5 star, thank, and brainliest if helpful!
One father is 70 inches tall and the residual for his son’s height is 2.5. What is the son’s actual height?
71.7 inches
74.2 inches
76.7 inches
82.3 inches
Answer: C
Step-by-step explanation:
Since the heights of the men are assumed to be normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = heights of the men.
µ = mean height
σ = standard deviation
From the information given,
µ = 70.7 inches
σ = 2.1 inches
The probability that they have a mean height greater than 71.7 inches is expressed as
P(x > 71.7) = 1 - P(x ≤ 71.7)
For x = 71.7
Since n = 36, then
z = (71.7 - 70.7)/2.1/√36 = 2.86
Looking at the normal distribution table, the probability corresponding to the z score is 0.998
P(x > 71.7) = 1 - 0.998 = 0.002
a line has a slope of 9/5 and the point (-10, -16). which of the following could be another point on the line?
A. (-5, -6)
B. (0,2)
C. (4, 11)
D. (10, 22)
Answer: C
Step-by-step explanation:
Another point on the line y = 9/5(x) + 2 is (0, 2).
The correct option is B.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
Given:
The slope of the line is 9/5 and passes through the point (-10, -16).
So, the equation of the line is,
y + 16 = 9/5(x + 10)
y + 16 = 9x/5 + 18
y = 9/5(x) + 2
From the given choices,
Substituting x = 0,
we get,
y = 2
another point on the line is (0, 2).
Therefore, another point on the line is (0, 2).
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PLEASE HELP with this question i don’t understand.
Answer:
D. -5
Step-by-step explanation:
3(-5)-4 = -11
-10 is greater than -11
Norah has read 72 pages, which is 45% of a book. How many pages are in the book?
If julie makes 18 baskets, how many baskets does Kari make? How many baskets do they make in all?
Answer:
I don't know what you are asking
Step-by-step explanation:
Someone please help me
Answer:
We can write 7 + 2 + 1 in two different ways.
a)
7 + 1 + 2b)
1 + 7 + 2Step-by-step explanation:
The commutative property of addition states that we can add the numbers in any order and get the same answer.
For example, if we add 'a' and 'b' together, the commutative property of addition states that we would get the same answer whether we add a + b or b+a.
In other words,
a + b = b + 1
In our case, we are given
7 + 2 + 1
According to the commutative property of addition, we can add the number in any order and get the same answer.
Therefore, we can write 7 + 2 + 1 in two different ways.
a)
7 + 1 + 2b)
1 + 7 + 2Verification:
Thus, the answer will remain the same in any order.
i.e.
7 + 2 + 1 = 7 + 1 + 2 = 1 + 7 + 2
PLZ HELP 55 POINTS!!!
The box below shows the first two of four steps for identifying equivalent expressions. • Simplify each expression. • Substitute a number for each variable. • • Which shows the last two steps in the directions? • Compare the resulting expressions. • If they have identical terms, the expressions are equivalent. • Compute the value of each expression. • Compare the values. If they are equal, the expressions are equivalent. • Decide if there are like terms in each expression. • Compare the like terms to simplify each expression. • Compare each expression, looking for like terms between them. • If each term matches one in the other expression, they are equivalent.
Answer:
Compute the value of each expression.
Compare the values If they are equal the expressions are equivalent.
Step-by-step explanation:
I WILL MARI YOU BRAINLEST PLEASE HELP
A. Which
gum
is the better deal at
each store? Which store has the
best deal overall?
Store 1
Orbit - 14 pieces for $1.29
Wrigley - 15 pieces for $1.19
Store 2
Orbit -81 pieces for $7.81
Wrigley - 5 pieces for $0.55
Store 3
Icebreakers - 10 pieces for $3.98
Store brand - 100 pieces for $9.98
Answer:
Wrigley Gum at Store 1 (since it has the lowest unit price)
Step-by-step explanation:
To find the best deal, you solve for unit price. The price for each item (total price / total units)
Store 1
1.29/14=$0.092
1.19/15=$0.079
Store 2
7.81/81=$0.096
0.55/5=$0.11
Store 3
3.98/10=$0.398
9.98/100=$0.0998
The cost of bananas varies directly with the number of pounds bought. If 5 pounds cost $8.50
find the cost of 3 pounds.
Need help with -9x - x + 3 + 5
Answer:
8x+8
Step-by-step explanation:
-9x-x+3+5
-9x-1x+3+5
9x-1x+3+5
8x+3+5
8x+8
HAVE A GREAT DAY!! HOPE THIS HELPS!! :))
The cost c of the membership of a club is $30 for sign up and $15 per week w to be a member.
Answer:
15x + 30
Step-by-step explanation:
Let x represent the number of weeks someone is a member. 30 is constant because it never changes.
Answer:
30+15w=c
Step-by-step explanation:
(c=total cost)
(w=variable to represent number of weeks)
Let ƒ(x) = 5x2 – x + 1 and g(x) = –3x. Evaluate the composition (ƒ ∘ g)(1) .
Question 12 options:
A)
(ƒ ∘ g)(1) = 49
B)
(ƒ ∘ g)(1) = –36
C)
(ƒ ∘ g)(1) = 32
D)
(ƒ ∘ g)(1) = –24
Answer
C is WRONG
Step-by-step explanation:
The correct answer is A
The fog(1) is -41.
Let ƒ(x) = 5x2 – x + 1 and g(x) = –3x.
Evaluate the composition (ƒ ∘ g)(1).
= f(g(x) where x = 1
= f(-3x)
= -5(-3x)² - (-3x)+ 1
=-5(9x²)+3x+1
fog(x) = -45x²+3x+1
fog(1) = -45+3+1
= -41
Hence, The fog(1) is -41.
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2a if a = 3 how do I get the answer
2a = 2 * a
a = 3
Plug in 3.
(2)*(3)
= 6
An equilateral triangle has side length of 10 inches. What is the area of the triangle in simplest radical form
Answer:
43.3in²
Step-by-step explanation:
The area of the equilateral triangle in the simplest radical form is 43.3 (inches)².
What is a Triangle?A simple polygon having 3 sides and three interior angles make up triangles. One of the fundamental geometric forms, it is represented by the symbol and comprises three connected vertices. Triangles can be categorized into the number of different varieties according to their sides and angles.
According to the information provided in the question,
Side of the equilateral triangle, a = 10 inches.
Area, a = (√3)/4 × a²
a = (√3)/4 × 10²
a = 43.3 (inches)²
Therefore, the area is 43.3 (inches)².
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A quantity with an initial value of 7600 decays exponentially at a rate of 55% every 7 days. What is the value of the quantity after 2 weeks, to the nearest hundredth?
Answer:
1539
Step-by-step explanation:
We solve the above question using the Exponential decay formula
= A(t) = Ao(1 - r) ^t
Ao = Initial Amount invested = 7600
r = Decay rate = 55% = 0.54
t = time in weeks = 2
Hence:
A(t) = 7600(1 - 0.55)²
A(t) = 7600 × (0.45)²
A(t) = 1539
Therefore, the value of the quantity after 2 weeks is 1539
Kevin is 4 years older than 3 times old as Jasper. If J represents Jasper's age, which expression represents Kevin's age?
A. 3j - 4
B. 4 + 3j
C. 4(3j)
D. 3j/ 4
Answer:
B
Step-by-step explanation: By breaking down the question, you can see that Jasper (j) is 3 times as old as Kevin, which means you need to multiply jasper's age by 3. The question also says that Kevin is 4 years older than whatever 3 times Jasper's age is, meaning you need to add 4 years into the question. The only answer that involves multiplying by 3 and adding by 4 is B.
Answer:
fewftwfgw
Step-by-step explanation:
wef
Ewan has 48 white tiles and 16 blue tiles. The cost of each white tile is £2.
The cost of each blue tile is £4.
Work out the ratio of total cost of white tiles to the total cost of the blue tiles.
25POINTS!!
Figure ABCD is transformed to figure A prime B prime C prime D prime, as shown below:
A coordinate grid is shown from negative 5 to 0 to 5 on both x -and y-axes. A polygon ABCD has A at ordered pair 1, 3, B at ordered pair 3, 4, C at ordered pair 2, 1, D at ordered pair 1, 1. A polygon A prime B prime C prime D prime has A prime at ordered pair negative 3, 3, B prime at ordered pair negative 5, 4, C prime at ordered pair negative 4, 1, D prime at ordered pair negative 3, 1.
Which of the following sequences of transformations is used to obtain figure A prime B prime C prime D prime from figure ABCD?
Reflection over the x-axis followed by a translation to the right by 2 units
Reflection over the y-axis followed by a translation to the left by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation to the right by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation to the left by 2 units
Answer: B.
Step-by-step explanation:
Answer:
The answer is B: Reflection over the y-axis followed by a translation to the left by 2 units
Step-by-step explanation:
I had this on a test one time and I got 100%
Need help with this question quick. Pre calculus question
Answer: -56/65
sin α = 4/5 => cos α = 3/5 (because 0 < α < pi/2)
cos β = -12/13 ⇒ sin β = 5/13 (because pi/2 < β < pi)
we have:
cos(α + β) = cosα.cosβ - sinα.sinβ = [tex]\frac{3}{5}.\frac{-12}{13}-\frac{4}{5}.\frac{5}{13}=\frac{-56}{65}[/tex]
Step-by-step explanation:
6000 is deposited into a fund at the annual rate of 9.5%. Find the time required for the investment to double if the interest is compounded continuously
Answer: 7.58 years
Step-by-step explanation:
When it comes to finding out how long it will take for an investment to double, one can use the Rule of 72.
The Rule of 72 estimates the amount of time it will take to double an investment when you divide 72 by the interest rate:
= 72 / r
= 72 / 9.5
= 7.58 years
The equation that represents the canned goods order is 24x + 64y = 384.
x = number of minutes for fruit cans
y = number of minutes for vegetable cans
Explain how to calculate the x- and y-intercepts.
Answer:
intercept
16,0
0,6
Step-by-step explanation:
Answer:
Substitute 0 for the x-value in the equation and solve for y. The result is y = 6, so the y-intercept is at (0, 6). Next, substitute 0 for the y-value in the equation and solve for x. The result is x = 16, so the x-intercept is at (16, 0).
Step-by-step explanation:
I did the assignment on edge its 8 grade math
